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Pure Mathematics (YPM01)
7个单元
Unit P1: Pure Mathematics 1
Algebra and functions
Coordinate geometry in the (x, y) plane
Trigonometry
Differentiation
Integration
Unit P2: Pure Mathematics 2
Proof
Algebra and functions
Coordinate geometry in the (x, y) plane
Sequences and series
Exponentials and logarithms
Trigonometry
Differentiation
Integration
Unit P3: Pure Mathematics 3
Algebra and functions
Trigonometry
Exponential and logarithms
Differentiation
Integration
Numerical methods
Unit P4: Pure Mathematics 4
Proof
Algebra and functions
Coordinate geometry in the (x, y) plane
Binomial expansion
Differentiation
Integration
Vectors
Unit FP1: Further Pure Mathematics 1
Complex numbers
Roots of quadratic equations
Numerical solution of equations
Coordinate systems
Matrix algebra integration
Transformations using matrices
Series
Proof
Unit FP2: Further Pure Mathematics 2
Inequalities
Series
Further complex numbers
First order differential equations
Second order differential equations
Maclaurin and Taylor series
Polar coordinates
Unit FP3: Further Pure Mathematics 3
Hyperbolic functions
Further coordinate systems
Differentiation
Integration
Vectors
Further matrix algebra
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